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Finding the Fourth Proportional to 5,627.64, 8,442.60 and 2,117.16

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Solution

The fourth proportional to 5,627.64, 8,442.60 and 2,117.16 is: 3,176.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,627.64 : 8,442.60 = 2,117.16 : x
  2. Step 2: Convert to fraction form
    5,627.64/8,442.60 = 2,117.16/x
  3. Step 3: Cross multiply
    5,627.64x = 8,442.60 × 2,117.16
  4. Step 4: Simplify right side
    5,627.64x = 17,874,335.02
  5. Step 5: Solve for x
    x = 17,874,335.02/5,627.64
  6. Step 6: Final answer
    x = 3,176.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.